Answer:
8
Step-by-step explanation:
Let A represents Jack's point, O represents Ontario and R represents the Lazy R resort. The figure showing the positions will be as in the figure shown:
The shortest distance will be found using the Pythagorean theorem:
c²=a²+b²
plugging the values you get:
c²=54²+31²
c²=3877
c=62.266 miles
I think .. correct me if i’m wrong
1. 3x+75=165
2. 3x+200
Answer:
The two lines are parallel
Step-by-step explanation:
- Parallel lines have equal slopes and different y-intercepts
- The product of the slopes of the perpendicular lines is -1 which means if the slope of one is m, then the slope of the other is
(reciprocal m and change its sign)
- The slope of the equation ax + by = c is m =

- The slope of the equation by = ax + c is m =

Let us use these rules to solve the question
∵ The 1st equation is -4y = -2x + b
∴ a = -2 and b = -4
∵ m =
in this form of the equation
∴ m =
∴ m1 = 
∵ The 2nd equation is 3x - 6y = 6
∴ a = 3 and b = -6
∵ m =
in this form of the equation
∴ m =
∴ m2 = 
∵ m1 = m2
∴ The slopes of the two lines are equal
→ That means the two lines are parallel
∴ The two lines are parallel
A side of right triangle lying against an angle of 30 degrees is equal to half of the hypotenuse, so
s=4×2=8
Answer: s=8